963288 has 48 divisors (see below), whose sum is σ = 2765880. Its totient is φ = 301824.

The previous prime is 963283. The next prime is 963299. The reversal of 963288 is 882369.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 963288.

It is not an unprimeable number, because it can be changed into a prime (963283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831 + ... + 1617.

2⁹⁶³²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382940).

963288 is an abundant number, since it is smaller than the sum of its proper divisors (1802592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

963288 is a wasteful number, since it uses less digits than its factorization.

963288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 963288 is about 981.4723633399. The cubic root of 963288 is about 98.7609783233.

The spelling of 963288 in words is "nine hundred sixty-three thousand, two hundred eighty-eight".